If I take 60V from a step down mains transformer and feed to a Buck regulator to give 0-60V for the flyback transformer, then that should be ok. Yes it won’t work if I start with 48V.I don't see how that can work. Buck converters go from a higher voltage to a lower voltage.
The 12V supply should be a traditional mains to 12V supply, unless you need it to be portable, then maybe you could do a single SEPIC converter for say 13.8V to 11.2 on the input.
https://www.ti.com/lit/an/snva168e/snva168e.pdf
Using the primary voltage to control the output voltage is IMHO a dubious enterprise





